Max Maths, Year 4, Learn together, Hundredths (3)

In an educational resource for Year 4 students, the concept of hundredths is explored through visual diagrams that illustrate fractions of a square. The diagrams serve as a tool to help students recognise and understand the relationship between fractions, decimals, and percentages. For instance, in one diagram, a square is divided into 100 equal parts, and one-quarter of it is coloured in. This is shown to be equivalent to 25 out of the 100 parts, demonstrating that one-quarter, written as 1/4, is the same as 25/100, which can also be expressed as the decimal 0.25.

The resource continues to clarify this relationship with additional examples. Another diagram shows one-half of the square coloured, corresponding to 50 out of the 100 parts. This visual representation helps students connect the fraction one-half, written as 1/2, with 50/100, and further simplifies this to 5/10, all of which are equal to the decimal 0.5. Similarly, a third diagram depicts three-quarters of the square shaded, equating to 75 of the 100 parts. This illustrates that three-quarters, or 3/4, is the same as 75/100, which can be written as the decimal 0.75. These examples are designed to build a foundational understanding of how fractions, decimals, and percentages are interrelated and represented in different forms.